113311002332133 has 8 divisors (see below), whose sum is σ = 167868151603200. Its totient is φ = 75540668221404.

The previous prime is 113311002332107. The next prime is 113311002332159. The reversal of 113311002332133 is 331233200113311.

113311002332133 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 0 + 0 + 2 + 332 + 13 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (113311002332107) and next prime (113311002332159).

It is not a de Polignac number, because 113311002332133 - 2¹³ = 113311002323941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4196703790079 = 113311002332133 / (1 + 1 + 3 + 3 + 1 + 1 + 0 + 0 + 2 + 3 + 3 + 2 + 1 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 113311002332097 and 113311002332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311002332173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2098351895013 + ... + 2098351895066.

It is an arithmetic number, because the mean of its divisors is an integer number (20983518950400).

Almost surely, 2^{113311002332133} is an apocalyptic number.

It is an amenable number.

113311002332133 is a deficient number, since it is larger than the sum of its proper divisors (54557149271067).

113311002332133 is an equidigital number, since it uses as much as digits as its factorization.

113311002332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196703790088 (or 4196703790082 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113311002332133 its reverse (331233200113311), we get a palindrome (444544202445444).

The spelling of 113311002332133 in words is "one hundred thirteen trillion, three hundred eleven billion, two million, three hundred thirty-two thousand, one hundred thirty-three".